Zhu Sui-cai. Some Pansystems Studies on Panchaos and Strange Panattractor[J]. Applied Mathematics and Mechanics, 1987, 8(8): 751-754.
Citation: Zhu Sui-cai. Some Pansystems Studies on Panchaos and Strange Panattractor[J]. Applied Mathematics and Mechanics, 1987, 8(8): 751-754.

Some Pansystems Studies on Panchaos and Strange Panattractor

  • Received Date: 1986-07-05
  • Publish Date: 1987-08-15
  • Paper [1] discussed the relations among panchaos and strange panattractor and pansystems operators. Paper [2] gave the applications of the fixed-point pansystems theorems to these typical nonlinear problems. In this paper, we firstly present several concepts: increasing relation, maximal panchaos, etc., and discuss the relations among them. We also discuss the problems when two increasing relations have the same panchaos and when panchaos of g is panchaos of gt as well.
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  • [1]
    Wu Xue-mou.Pansystems methodology and nonlinear analysist:The new investigation of bifurcation,catastrophe and chaos and stability,Procecdings of International Conference of Nonlinear Mechanics (1985).
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    覃国光,稳定性与混沌的一些泛系研究,科学探索,3 (1986).
    [3]
    Wu Xue-mou,Pansystems methodology:Concepts,theorems and applications (Ⅰ)-(Ⅷ),Science Exploration,1,2,4(1982),1,4(1983),1(1984).
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    吴学谋,泛系方法论与泛系突变分析,《分叉、突变、稳定性学术会议论文汇编》,中国力学会(1983).
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    Gao Long-ying and Wang Shu-ji,Pansystems and fixed pansystems theorems,Applied Mathematics and Mechanics,5,5(1984).
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    Zhu Sui-cai and Wu Chen,Some problems on pansystems series-parallel analysis and clustering analysis,Seience Exploration,3(1984).
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    [8]
    Li Gui-hua,Thc characteristic describing of the structure and quantity in fixed pansystems theorems,Applied Mathematics and Mechanics,5,6(1984).
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